Equilibrium Feedback Control in Linear Games with Quadratic Costs
Dahlard L. Lukes · SIAM Journal on Control · 1971
Problems concerning equilibrium strategies for linear games are treated in a Hilbert space setting. First a nonlinear equation is derived for the equilibrium solutions in the player’s allowed operator feedback spaces. The results obtained from the study of this equation are then used to compute the solution to a class of differential games and to establish the uniqueness of the solution.